“To Infinity and Beyond“: What is Transfinite Induction?

“To Infinity and Beyond“ may feel a bit childish mathematically, well, that is until you learn more about ordinals and different sizes of infinity. One way this comes up in proofs is with Transfinite induction arguments. So, what is Transfinite Induction? Here we introduce the topic and go through a transfinite induction proof of something that, although there is a much simpler solution, generalizes the possibilities for a set that satisfies the conditions. Hang out with me while I work through some of my problems on Twitch: My Kofi Page: _____________________ Last PhD Update: Last Academic Talk/stream: Last CHALK video: The CHALKboard: _____________________ A BOOK ON MATHEMATICAL STRUCTURES: WHAT GEAR I USED FOR THIS VIDEO: Camera - Lens - SD card - Microphone - Lighting Kit - Editing Hard Drive - DISCLAIMER: Links included in this description may be affiliate links. If you purchase a product or service with the links that I include here, I may receive a small commission. There is no additional charge to you! Thank you for supporting my channel and for helping me create these free videos!